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12 April, 23:54

Two clay balls collide and stick. Ball 1 has a mass of 10 kg and an initial velocity of 5 m/s in the positive x direction. Ball 2 has a mass of 20 kg and an initial velocity of 5 m/s in the negative x direction. What is the final velocity of the combined mass?

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  1. 13 April, 00:40
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    - 1.67 m/s

    Explanation:

    mass of first ball, m = 10 kg

    mass of second ball, M = 20 kg

    initial velocity of first ball, u = 5 m/s

    initial velocity of second ball, U = - 5 m/s (direction is opposite to the first ball)

    Let the final velocity of the combined mass is V.

    Use the principle of conservation of linear momentum

    Momentum before collision = Momentum after collision

    m u + M U = (m + M) V

    10 x 5 + 20 x (-5) = (10 + 20) x V

    50 - 100 = 30 V

    - 50 = 30 V

    V = - 1.67 m/s

    Thus, the combined mass moves in the negative x axis direction with the velocity of 1.67 m/s.
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